However, between collapse events the time evolution of quantum states is perfectly deterministic.

The time evolution is one example of a pure channel.

Preserving the density under the time evolution is another method of derivation.

A master equation describes the time evolution of this probability.

These last four equations are explicit formulae for the time evolution of the system given its current state.

For example, one can construct a particular scenario tree defining time evolution of the process.

The time evolution of such system is also studied for the cases of different initial conditions.

The time evolution of this problem can be described by solving the Euler equations.

There are several ways to describe the time evolution of a dynamical system.

The concept of time evolution may be applicable to other stateful systems as well.